Some terrible things have happened to you, and you are afraid. That is normal. It's your fear that makes you say, "I can't."
You feel that the counselor betrayed your trust, as others have done. It is a big deal for you to trust someone, and the betrayal has seemed to confirm your fear of trusting someone.
If you can understand that the counselor had to tell what happened to you, can you try to work with him or her? If not, you need a new counselor.
Make a list of all of the things you are afraid might happen if you tell the truth. Even the things that may seem far-fetched or silly. You've already started talking about them here, and that's a beginning.
Your fears are legitimate fears. Talk to your counselor about them. I'm going to take a guess at another: you are afraid that you will die if you tell.
I don't think you will die if you tell. I think that you can tell, and somewhere deep inside you want to. You just need to get past the fear into freedom. Please continue to get counseling, and know that in this short time, a lot of people here have come to care about you! You deserve to be free from your fear.
Wish there was a hug icon! (((((big hug)))))